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Finding the Fourth Proportional to 2,074.85, 3,112.88 and 614.01

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Solution

The fourth proportional to 2,074.85, 3,112.88 and 614.01 is: 921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.85 : 3,112.88 = 614.01 : x
  2. Step 2: Convert to fraction form
    2,074.85/3,112.88 = 614.01/x
  3. Step 3: Cross multiply
    2,074.85x = 3,112.88 × 614.01
  4. Step 4: Simplify right side
    2,074.85x = 1,911,339.45
  5. Step 5: Solve for x
    x = 1,911,339.45/2,074.85
  6. Step 6: Final answer
    x = 921.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.